Question

Dan, Ellen and Fred share some money in the ratio 4:7:9.

Ellen receives £720 more than Dan.
Calculate the total amount of money that they shared.

Answer 1

Total Amount of money = £4800

Explanation:

Let the shares of Dan, Ellen and Fred be 4x, 7x and 9x respectively.

According to the given information:

Amount received by Ellen = Amount received by Dan + £720

7x = 4x+720

7x-4x=720

3x = 720

x = 720/3

x = £240

now,

4x = 4*240 = £960

7x = 7*240 = £1680

9x = 9*240 = £2160

Total Amount = £960 + £1680 + £2160

Total Amount = £4800